2(x-3)+5x=9x-14

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Solution for 2(x-3)+5x=9x-14 equation:


Simplifying
2(x + -3) + 5x = 9x + -14

Reorder the terms:
2(-3 + x) + 5x = 9x + -14
(-3 * 2 + x * 2) + 5x = 9x + -14
(-6 + 2x) + 5x = 9x + -14

Combine like terms: 2x + 5x = 7x
-6 + 7x = 9x + -14

Reorder the terms:
-6 + 7x = -14 + 9x

Solving
-6 + 7x = -14 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-6 + 7x + -9x = -14 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-6 + -2x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -2x = -14 + 0
-6 + -2x = -14

Add '6' to each side of the equation.
-6 + 6 + -2x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -14 + 6
-2x = -14 + 6

Combine like terms: -14 + 6 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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